How to hide reference images in different orthographics?
Just move images from center at 1m or what offset would you prefer X and Y axis it's would't be harm for modeling process.Hope it will help you.
Also make separate scene collection and move all references to there as you do so turn on in filter outliner tab with arrow and then next to collection unpin arrow (or next to each image).It will protect you from accidentally move image while modeling.
Sorry for bad English.